Calculate probability that each estimator is within 1 unit

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Suppose that: y-sqwiggly line on top=1/2Y1+1/3Y2+1/6Y3

a) show that y-sqwiggly line on top is a linearestimator
b) show that y-sqwiggly line on top is an unbiasedestimator
c) find the variance of y-sqwiggly line on top andcompare it to the variance of the same mean y-bar
d) is y-sqwiggly line on top as good an estimator asy-bar?
e) if σ2 = 9, calculate theprobability that each estimator is within 1 unit on either sideof μ.

Reference no: EM13244073

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